Handle URI:
http://hdl.handle.net/10754/597712
Title:
Diffusion of Finite-Size Particles in Confined Geometries
Authors:
Bruna, Maria; Chapman, S. Jonathan
Abstract:
The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear diffusion equation for the one-particle probability density function, with an overall collective diffusion that depends on both the excluded-volume and the narrow confinement. By including both these effects, the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Numerical solutions of both the effective nonlinear diffusion equation and the stochastic particle system are presented and compared. As an application, the case of diffusion under a ratchet potential is considered, and the change in transport properties due to excluded-volume and confinement effects is examined. © 2013 Society for Mathematical Biology.
Citation:
Bruna M, Chapman SJ (2013) Diffusion of Finite-Size Particles in Confined Geometries. Bull Math Biol 76: 947–982. Available: http://dx.doi.org/10.1007/s11538-013-9847-0.
Publisher:
Springer Science + Business Media
Journal:
Bulletin of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
10-May-2013
DOI:
10.1007/s11538-013-9847-0
PubMed ID:
23660951
Type:
Article
ISSN:
0092-8240; 1522-9602
Sponsors:
This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). MB acknowledges financial support from EPSRC. We are grateful to the organizers of the workshop "Stochastic Modelling of Reaction-Diffusion Processes in Biology," which has led to this Special Issue.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBruna, Mariaen
dc.contributor.authorChapman, S. Jonathanen
dc.date.accessioned2016-02-25T13:10:07Zen
dc.date.available2016-02-25T13:10:07Zen
dc.date.issued2013-05-10en
dc.identifier.citationBruna M, Chapman SJ (2013) Diffusion of Finite-Size Particles in Confined Geometries. Bull Math Biol 76: 947–982. Available: http://dx.doi.org/10.1007/s11538-013-9847-0.en
dc.identifier.issn0092-8240en
dc.identifier.issn1522-9602en
dc.identifier.pmid23660951en
dc.identifier.doi10.1007/s11538-013-9847-0en
dc.identifier.urihttp://hdl.handle.net/10754/597712en
dc.description.abstractThe diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear diffusion equation for the one-particle probability density function, with an overall collective diffusion that depends on both the excluded-volume and the narrow confinement. By including both these effects, the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Numerical solutions of both the effective nonlinear diffusion equation and the stochastic particle system are presented and compared. As an application, the case of diffusion under a ratchet potential is considered, and the change in transport properties due to excluded-volume and confinement effects is examined. © 2013 Society for Mathematical Biology.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). MB acknowledges financial support from EPSRC. We are grateful to the organizers of the workshop "Stochastic Modelling of Reaction-Diffusion Processes in Biology," which has led to this Special Issue.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectBrownian motionen
dc.subjectDiffusion in confined geometriesen
dc.subjectEntropic effectsen
dc.subjectFokker-Planck equationen
dc.subjectStochastic simulationsen
dc.titleDiffusion of Finite-Size Particles in Confined Geometriesen
dc.typeArticleen
dc.identifier.journalBulletin of Mathematical Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionMicrosoft Research Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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